Highly symmetric aperiodic structures -INVITED

The symmetries of periodic structures are severely constrained by the crystallographic restriction. In particular, in two and three spatial dimensions, only rotational axes of order 1, 2, 3, 4 or 6 are possible. Aperiodic tilings can provide perfectly ordered structures with arbitrary symmetry prope...

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Autor principal:	Grimm Uwe
Formato:	article
Lenguaje:	EN
Publicado:	EDP Sciences 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/f2cbc77b437a4f00acb2fdb03ec34f36
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spelling	oai:doaj.org-article:f2cbc77b437a4f00acb2fdb03ec34f362021-12-02T17:12:51ZHighly symmetric aperiodic structures -INVITED2100-014X10.1051/epjconf/202125509001https://doaj.org/article/f2cbc77b437a4f00acb2fdb03ec34f362021-01-01T00:00:00Zhttps://www.epj-conferences.org/articles/epjconf/pdf/2021/09/epjconf_eosam2021_09001.pdfhttps://doaj.org/toc/2100-014XThe symmetries of periodic structures are severely constrained by the crystallographic restriction. In particular, in two and three spatial dimensions, only rotational axes of order 1, 2, 3, 4 or 6 are possible. Aperiodic tilings can provide perfectly ordered structures with arbitrary symmetry properties. Random tilings can retain part of the aperiodic order as well the rotational symmetry. They offer a more flexible approach to obtain homogeneous structures with high rotational symmetry, and might be of particular interest for applications. Some key examples and their diffraction are discussed.Grimm UweEDP SciencesarticlePhysicsQC1-999ENEPJ Web of Conferences, Vol 255, p 09001 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Grimm Uwe Highly symmetric aperiodic structures -INVITED
description	The symmetries of periodic structures are severely constrained by the crystallographic restriction. In particular, in two and three spatial dimensions, only rotational axes of order 1, 2, 3, 4 or 6 are possible. Aperiodic tilings can provide perfectly ordered structures with arbitrary symmetry properties. Random tilings can retain part of the aperiodic order as well the rotational symmetry. They offer a more flexible approach to obtain homogeneous structures with high rotational symmetry, and might be of particular interest for applications. Some key examples and their diffraction are discussed.
format	article
author	Grimm Uwe
author_facet	Grimm Uwe
author_sort	Grimm Uwe
title	Highly symmetric aperiodic structures -INVITED
title_short	Highly symmetric aperiodic structures -INVITED
title_full	Highly symmetric aperiodic structures -INVITED
title_fullStr	Highly symmetric aperiodic structures -INVITED
title_full_unstemmed	Highly symmetric aperiodic structures -INVITED
title_sort	highly symmetric aperiodic structures -invited
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/f2cbc77b437a4f00acb2fdb03ec34f36
work_keys_str_mv	AT grimmuwe highlysymmetricaperiodicstructuresinvited
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Highly symmetric aperiodic structures -INVITED

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